POST UTME PAN-ATLANTIC UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave with a frequency of 100 Hz and a wavelength of 10 m is traveling through a medium with a speed of 300 m/s. Calculate the amplitude of the wave.
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 2
A point charge of 2 μC is placed at the origin. What is the electric potential at a point 0.5 m away from the charge?
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 3
A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 4 J
B. 8 J
C. 12 J
D. 16 J
Question 4
A magnetic field of 0.5 T is applied to a coil of wire with a resis\tance of 10 Ω and an induc\tance of 0.1 H. Calculate the induced emf in the coil.
A. 0.5 V
B. 1.0 V
C. 1.5 V
D. 2.0 V
Question 5
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the particle.
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 6
A 2000 J of work is done on an object, cau\sing it to move from rest to a speed of 10 m/s. What is the mass of the object?
A. m = \frac{2W}{v^2}
B. m = \frac{W}{v^2}
C. m = \frac{2W}{v}
D. m = \frac{W}{v}
Question 7
A particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a uniform magnetic field of strength $B$. The particle's velocity is perp\endicular to the magnetic field. What is the frequency of the particle's motion?
A. f = \\frac{qB}{2\\pi m}
B. f = \frac{qB}{m}
C. f = \\frac{2\\pi m}{qB}
D. f = \\frac{qB}{4\\pi m}
Question 8
A block of mass 5 kg is moving with a velocity of 10 m/s. What is the kinetic energy of the block?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 9
A heat engine operates between a temperature of 600 K and a temperature of 400 K. What is the efficiency of the engine?
A. 0.33
B. 0.40
C. 0.50
D. 0.60
Question 10
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V power source. Calculate the current flowing through the circuit.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 11
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 12
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 13
A solid cylindrical block of wood with a radius of 0.1 m and a height of 0.2 m is floating in a \tank of water. If the density of the wood is 500 kg/m³ and the density of water is 1000 kg/m³, what is the volume of the block that is submerged in the water?
A. 0.02 m³
B. 0.04 m³
C. 0.06 m³
D. 0.08 m³
Question 14
A 100 V, 50 Hz AC source is connected to a 10 Ω resistor. What is the rms current in the circuit?
A. I_{rms} = \frac{100}{10}
B. I_{rms} = \frac{50}{10}
C. I_{rms} = \\frac{100\\sqrt{2}}{10}
D. I_{rms} = \\frac{50\\sqrt{2}}{10}
Question 15
A 100 V AC source is connected in series with a 20 Ω resistor and a 5 mH inductor. If the frequency of the source is 50 Hz, calculate the current in the circuit.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A

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